If you agree that it is very statistically unlikely that life is being created without God, then what other logical answer can there be? and what exactly is keeping you from believing in God? I do not find that logical.
While again, I understand your thought process, just because something is supremely unlikely doesn't mean that god is the inevitable alternative. I'm not necessarily ruling it out, but a lack of proof for something doesn't necessitate that a god is responsible. Furthermore, let's say that one does believe that the universe needed, at the very least, an original push from some kind of creator deity. Why would it be the god of Islam? That's more what I'm here to find out from all of you; why, out of all the religions of the world, should/would someone choose this god over the millions of others? Everyone is an atheist when it comes to all religions other than one's own, after all.
So, this person would be rewarded greatly for his good deeds, but in the end he will not be granted into heaven.
What rewards exist other than heaven? I do not remember a part of the Koran that mentions this, but it was a while ago that I last read it. I'd be grateful if you could point me in the right direction, in terms of the Suras that mention this particular part.
It's 50% me and 50% hypotheticalI do not know whether you mean yourself with "this person", but if it is you, then I would recommend you to remove this doubt and start truely believing in God. as you can see it is very logical and you do not have to give up logic, reason and science for it.
Your well being is very dependant on this.

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Update:
Let me please elaborate this a little:
(The description I give in this post is as far as I think how it would be. to my fellow muslims: If I am wrong, I am sorry, so please correct me.)
After your death you will be going through some stages:
first the Barzaq, this is the time between your death and the Day of Judgement. The time in Barzaq is relative. It is different for every individual. Some will experience it as a few seconds, or hours...other will experience it as centuries.
After the Day of Judgement there is eternal Heaven or eternal Hell. This is an absulute day for every individual. Everyone will be awakened from the death and walk into Heaven or fall in Hell on this day.
So during the Barzaq you will have these options:
if you have died with faith in God in your heart, but you have sins, this would be weight against your good deeds and compensated, if you still have sins left over, you will be punished for these greatly. For those people, Barzaq can be one of the pits of Hell.
if you have died with no faith in God, but you have done a lot of good deeds, this would be weight against your sins and compensated, if you still have good deeds left over, you will be rewarded greatly for this. For those people, Barzaq can be one of the gardens of Heaven.
Eventually, on the Judgement day, when we all awake at the same time...Believers will be totally sin free as for the disbelievers will be totally good-deeds-free. We all will see the Heaven on the other side of a deep canyon. the bottom of this canyon is Hell.
the Heaven is only reachable by crossing a bridge, the Siraat bridge. this Brigde is a wide bridge for believers, but it will become very narrow for disbelievers. people who manage to get to the other side (with Gods mercy) will enter Heaven for eternity. others will fall off the bridge into Hell for eternity.
So, again, it all boils down to believing or not believing in God.
I have to nuance this a little bit.
God is mercyfull. if you have faith in God in your heart with the weight of a mustard seed, you will be considered as a believer.
Eventually, God is the one who will judge over you.
See, this is more what I was looking for! Thanks for elaborating. The "believe or burn forever" idea has always made me pause, and it's something that is relatively unique to Abrahamic religions. But this actually seems to reflect the constant claims of muslims and the Koran that their god is one of mercy, since those who live righteous lives still sound like they will have that taken into consideration.
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True! However, I'm curious as to the general opinion of someone who, for whatever reason, didn't believe that the Koran was created by a god but who nevertheless supported the philosophical and moral framework it provided.Then one would conclude that the person hasn't read or studied the Quran as one of the central claims of the Quran is that is from God. It underpins the whole moral, existential, eschatological message.